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Quantum independent increment processes on superalgebras

https://doi.org/10.1007/bf01162868
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_16openalex-snapshot
Quantum Stochastic Processes
inferredcites →https://doi.org/10.1007/978-3-642-59312-3openalex-snapshot
Elements of Mathematics
inferredcites →https://doi.org/10.1007/978-3-642-66706-0openalex-snapshot
Probability Measures on Locally Compact Groups
inferredcites →https://doi.org/10.1007/bf00536048openalex-snapshot
An algebraic version of the central limit theorem
inferredcites →https://doi.org/10.1007/bf00536049openalex-snapshot
An algebraic central limit theorem in the anti-commuting case
inferredcites →https://doi.org/10.1007/bf01212531openalex-snapshot
Fermion Ito's formula and stochastic evolutions
inferredcites →https://doi.org/10.1007/bf01258530openalex-snapshot
Quantum Ito's formula and stochastic evolutions
inferredcites →https://doi.org/10.1007/bfb0058340openalex-snapshot
Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory
inferredcites →https://doi.org/10.1007/bfb0058558openalex-snapshot
Duality and von Neumann algebras
inferredcites →https://doi.org/10.1007/bfb0071737openalex-snapshot
Ito solution of the linear quantum stochastic differential equation describing light emission and absorption
inferredcites →https://doi.org/10.1007/bfb0074480openalex-snapshot
Uses of non-Fock quantum Brownian motion and a quantum martingale representation theorem
inferredcites →https://doi.org/10.1007/bfb0074495openalex-snapshot
Positive and conditionally positive linear functionals on coalgebras
inferredcites →https://doi.org/10.1016/0001-8708(76)90201-2openalex-snapshot
Nonrelativistic quantum mechanics as a noncommutative Markof process
inferredcites →https://doi.org/10.1016/0022-1236(86)90012-1openalex-snapshot
The strong Markov property for fermion Brownian motion
inferredcites →https://doi.org/10.1016/0022-1236(88)90085-7openalex-snapshot
A martingale characterization of canonical commutation and anticommutation relations
inferredcites →https://doi.org/10.1016/0047-259x(77)90035-5openalex-snapshot
Quantum mechanical Wiener processes
inferredcites →https://doi.org/10.1112/blms/4.2.231openalex-snapshot
ABSTRACT HARMONIC ANALYSIS, VOL. II
inferredcites →https://doi.org/10.2307/1970615openalex-snapshot
On the Structure of Hopf Algebras
inferredcites →https://doi.org/10.2977/prims/1195184017openalex-snapshot
Quantum Stochastic Processes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Realization of Unitary q-White Noise on Fock Space
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inferred← citeshttps://doi.org/10.1007/bfb0085528openalex-snapshot
Gaussian states on bialgebras
inferred← citeshttps://doi.org/10.1007/bfb0087860openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0100842openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00208-011-0656-1openalex-snapshot
Quantum stochastic convolution cocycles III
inferred← citeshttps://doi.org/10.1007/s00209-002-0469-8openalex-snapshot
Unification of boolean, monotone, anti-monotone, and tensor independence and L�vy processes
inferred← citeshttps://doi.org/10.1007/s00209-005-0793-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s004400050127openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10959-025-01425-wopenalex-snapshot
Gaussian Generating Functionals on Easy Quantum Groups
inferred← citeshttps://doi.org/10.1007/s12044-008-0020-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s13226-015-0150-7openalex-snapshot
Fermionic Meixner classes, Lie algebras and quadratic Hamiltonians
inferred← citeshttps://doi.org/10.1016/0022-1236(92)90045-kopenalex-snapshot
A Fermion Levy theorem
inferred← citeshttps://doi.org/10.1016/0047-259x(91)90029-2openalex-snapshot
Quantum stochastic processes with independent additive increments
inferred← citeshttps://doi.org/10.1016/j.anihpb.2004.10.002openalex-snapshot
Quantum stochastic convolution cocycles I
inferred← citeshttps://doi.org/10.1016/j.geomphys.2022.104710openalex-snapshot
Connectedness and Gaussian parts for compact quantum groups
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2011.05.019openalex-snapshot
Additive deformations of Hopf algebras
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)86953-4openalex-snapshot
Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups
inferred← citeshttps://doi.org/10.1017/s0305004100068432openalex-snapshot
A class of representations of involutive bialgebras
inferred← citeshttps://doi.org/10.1017/s0305004100070006openalex-snapshot
Quantum stochastic differential equations on *-bialgebras
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Phase Retrieval for Probability Distributions on Quantum Groups and Braided Groups
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Markov processes and generalized Schrödinger equations
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inferred← citeshttps://doi.org/10.1063/1.531508openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/conm/317/05516openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/9789812702104_0011openalex-snapshot
QUANTUM MECHANICS ON THE CIRCLE THROUGH HOPF Q-DEFORMATIONS OF THE KINEMATICAL ALGEBRA WITH POSSIBLE APPLICATIONS TO LÉVY PROCESSES
inferred← citeshttps://doi.org/10.1142/s0217751x93001818openalex-snapshot
QUANTUM RANDOM WALKS AND TIME REVERSAL
inferred← citeshttps://doi.org/10.1142/s0219025700000066openalex-snapshot
OPERATOR PROCESSES MAJORIZING THEIR QUADRATIC VARIATION
inferred← citeshttps://doi.org/10.1142/s0219025703001158openalex-snapshot
Random Walk and Diffusion on a Smash Line Algebra
inferred← citeshttps://doi.org/10.1142/s0219025704001499openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0219025718500170openalex-snapshot
Lévy–Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
inferred← citeshttps://doi.org/10.1142/s0219025722400033openalex-snapshot
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies
inferred← citeshttps://doi.org/10.1142/s0219025722400094openalex-snapshot
Non-commutative stochastic processes with independent increments
inferred← citeshttps://doi.org/10.1142/s0219025722500163openalex-snapshot
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability
inferred← citeshttps://doi.org/10.1142/s0219025798000314openalex-snapshot
Infinitesimal Generators on the Quantum Group SU q(2)
inferred← citeshttps://doi.org/10.1142/s0219025799000060openalex-snapshot
CLASSICAL MARKOV PROCESSES FROM QUANTUM LÉVY PROCESSES
inferred← citeshttps://doi.org/10.14708/wm.v46i2.202openalex-snapshot
Probabilistyka na topologicznych grupach kwantowych
inferred← citeshttps://doi.org/10.31390/cosa.4.4.07openalex-snapshot
Transformation of quantum Lévy processes on Hopf algebras
inferred← citeshttps://doi.org/10.33044/revuma.2574openalex-snapshot
Brownian motion on involutive braided spaces
inferred← citeshttps://doi.org/10.48550/arxiv.1801.03982openalex-snapshot
Zeta-regularization and the heat-trace on some compact quantum semigroups
inferred← citeshttps://doi.org/10.48550/arxiv.math/0703339openalex-snapshot
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Lévy Processes on $U_q(g)$ as Infinitely Divisible Representations
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